It has been established that the Shape Factor $\backslash$beta $(\backslash$beta $=$ b$/$d$)$ for a beam is to be $0\mathrm{.}45.$

Given that the beam has to resist a design factored moment of M$*=88$ KN$-$m$,$ that

f$$c $=25$ MPa, that fy $=500$ MPa and that the maximum depth of the beam must not

exceed $450$ mm$,$ establish the geometry of the beam $($width and depth$)$ and the

required area of steel with a cover from the centroid of the steel equal to $40$ mm$.$

Select the re$-$bars and include the two checks required for a satisfactory design.